2 Answers
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No one "coined" it; it is a romanization of the genitive form of Muhammad ibn Abd al-Wahhab. The -i suffix is the usual way to transliterate it, just as we have Saudi, Kuwaiti, Omani, and so on. (The more common way in English to create a genitive for a thinker would be to use the Greek-derived -ic or the Latin-derived -an, hence you do see Wahhabic and Wahhabian like Platonic and Aristotelian).

Its first use in English is attested in various dictionaries to the first decade of the 19th century.

Good graph but be careful of Google book data as there are false positives, for example the internet was unlikely to be referred to in the 17th century. Not to say this is not useful data (it is) but care must be taken in how we interpret it.
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SardathrionSep 17 '12 at 8:22

@Sardathrion, yes, no large dataset is perfect, but don't discount English either. "Inter" is a very common prefix, inherited from Latin, (EG: "Interstitial", "Intercept", etc.). It is possible that early uses were real, but meant something different than the innerwebz. Maybe: "We caught the fish internet" (between nets). ... ... This is supported by the fact that "internets" and "inter net" both appear hundreds of years ago, but are hardly in use today.
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Brock AdamsSep 17 '12 at 8:45

Indeed. My comment was in no way a criticism of your graph/answer/Google Book. Just a grain of salt. ^_~
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SardathrionSep 17 '12 at 8:48

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@Sardathrion, And I agree with the salt, but I also know that many strange and ¿terrifying? things lurk in the history of the English language.
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Brock AdamsSep 17 '12 at 8:50